3131220440033 has 16 divisors (see below), whose sum is σ = 3801971779200. Its totient is φ = 2517405294336.

The previous prime is 3131220440027. The next prime is 3131220440053. The reversal of 3131220440033 is 3300440221313.

It is a cyclic number.

It is not a de Polignac number, because 3131220440033 - 2¹⁸ = 3131220177889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3131220439984 and 3131220440011.

It is not an unprimeable number, because it can be changed into a prime (3131220440053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44867483 + ... + 44937216.

It is an arithmetic number, because the mean of its divisors is an integer number (237623236200).

Almost surely, 2^{3131220440033} is an apocalyptic number.

It is an amenable number.

3131220440033 is a deficient number, since it is larger than the sum of its proper divisors (670751339167).

3131220440033 is a wasteful number, since it uses less digits than its factorization.

3131220440033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89805016.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 3131220440033 its reverse (3300440221313), we get a palindrome (6431660661346).

The spelling of 3131220440033 in words is "three trillion, one hundred thirty-one billion, two hundred twenty million, four hundred forty thousand, thirty-three".